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2025-09-15 21:27
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feat(RingTheory/Flat): Add theorems relating Submodule.torsion and Module.Flat (
#26783
)
Estimated changes
Modified
Mathlib.lean
Modified
Mathlib/Algebra/Algebra/Bilinear.lean
added
theorem
LinearMap.lift_lsmul_mul_eq_lsmul_lift_lsmul
Modified
Mathlib/Algebra/Module/LocalizedModule/Basic.lean
added
theorem
IsLocalizedModule.noZeroSMulDivisors
Created
Mathlib/RingTheory/Flat/TorsionFree.lean
added
theorem
IsDedekindDomain.flat_iff_torsion_eq_bot
added
theorem
Module.Flat.flat_iff_torsion_eq_bot_of_isBezout
added
theorem
Module.Flat.flat_iff_torsion_eq_bot_of_valuationRing_localization_isMaximal
added
theorem
Module.Flat.isSMulRegular_of_isRegular
added
theorem
Module.Flat.isSMulRegular_of_nonZeroDivisors
added
theorem
Module.Flat.torsion_eq_bot
Modified
Mathlib/RingTheory/Ideal/IsPrincipal.lean
added
theorem
Ideal.isoBaseOfIsPrincipal_apply
added
theorem
Ideal.subtype_isoBaseOfIsPrincipal_eq_mul